FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Diagonal of Pentagon given Area Formula

GoDiagonal of Pentagon given Circumradius Formula

GoDiagonal of Pentagon Formula

Fx Copy

LaTeX Copy

Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon. Check FAQs

d = (1 + \sqrt{5}) \cdot \sqrt{\frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

d - Diagonal of Pentagon?A - Area of Pentagon?

Diagonal of Pentagon given Area Example

With values

With units

Only example

Here is how the Diagonal of Pentagon given Area equation looks like with Values.

Here is how the Diagonal of Pentagon given Area equation looks like with Units.

Here is how the Diagonal of Pentagon given Area equation looks like.

16.0838 = (1 + \sqrt{5}) \cdot \sqrt{\frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

16.0838m = (1 + \sqrt{5}) \cdot \sqrt{\frac{170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

16.0838 = (1 + \sqrt{5}) \cdot \sqrt{\frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Diagonal of Pentagon given Area

Diagonal of Pentagon given Area Solution

Follow our step by step solution on how to calculate Diagonal of Pentagon given Area?

FIRST Step Consider the formula

d = (1 + \sqrt{5}) \cdot \sqrt{\frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

d = (1 + \sqrt{5}) \cdot \sqrt{\frac{170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

d = (1 + \sqrt{5}) \cdot \sqrt{\frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

d = 16.083761140737m

LAST Step Rounding Answer

∴

d = 16.0838m

Diagonal of Pentagon given Area Formula Elements

Variables

Functions

Diagonal of Pentagon

Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Pentagon

Area of Pentagon

The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diagonal of Pentagon

Go Diagonal of Pentagon given Circumradius

d = \frac{r c}{\sqrt{\frac{5 - \sqrt{5}}{10}}}

Go Diagonal of Pentagon

d = (1 + \sqrt{5}) \cdot \frac{l e}{2}

Go Diagonal of Pentagon given Perimeter

d = (1 + \sqrt{5}) \cdot \frac{P}{10}

Go Diagonal of Pentagon given Height

d = (1 + \sqrt{5}) \cdot \frac{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

How to Evaluate Diagonal of Pentagon given Area?

Diagonal of Pentagon given Area evaluator uses Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5)))) to evaluate the Diagonal of Pentagon, The Diagonal of Pentagon given Area formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using area. Diagonal of Pentagon is denoted by d symbol.

How to evaluate Diagonal of Pentagon given Area using this online evaluator? To use this online evaluator for Diagonal of Pentagon given Area, enter Area of Pentagon (A) and hit the calculate button.

FAQs on Diagonal of Pentagon given Area

What is the formula to find Diagonal of Pentagon given Area?

The formula of Diagonal of Pentagon given Area is expressed as Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5)))). Here is an example- 16.08376 = (1+sqrt(5))*sqrt(170/sqrt(25+(10*sqrt(5)))).

How to calculate Diagonal of Pentagon given Area?

With Area of Pentagon (A) we can find Diagonal of Pentagon given Area using the formula - Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal of Pentagon?

Here are the different ways to Calculate Diagonal of Pentagon-

Diagonal of Pentagon=Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))
Diagonal of Pentagon=(1+sqrt(5))*Edge Length of Pentagon/2
Diagonal of Pentagon=(1+sqrt(5))*Perimeter of Pentagon/10

Can the Diagonal of Pentagon given Area be negative?

No, the Diagonal of Pentagon given Area, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Pentagon given Area?

Diagonal of Pentagon given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal of Pentagon given Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit